A batter hits a baseball with an initial horizontal speed of 74 mph and an initial rate of climb of 61 mph. How fast is the ball traveling when it leaves the bat?  _mph    When the ball leaves the bat, what angle does it initially form with the horizon?___  °    In this context, gravity will change the ball's rate of climb over time but has no effect on the ball's horizontal speed. If the ball lands 2.851 seconds after it was hit, how many feet did the ball travel? (Recall that there are 5,280 feet in one mile and 3600 seconds in one hour.)  _feet   ​

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

Apsychology student wishes to investigate differences in political opinions between business majors and political science majors at her college. she randomly selects 100 students from the 260 business majors and 100 students from the 180 political science majors. does this sampling plan result in a simple random sample? why or why not? no, because each group of 200 students in the sample does not have the same chance of being selected. yes, because each group of 200 students in the sample has the same chance of being selected. no, because each individual student does not have an equal chance of being selected. yes, because each individual student has the same chance of being selected.

Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (-1+i)+(21+5i)+0